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Finding the Third Proportional to 826,509.38 and 1,276,612.31

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Solution

The third proportional to 826,509.38 and 1,276,612.31 is: 1,971,833.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,509.38 : 1,276,612.31 = 1,276,612.31 : x
  2. Step 2: Convert to fraction form
    826,509.38/1,276,612.31 = 1,276,612.31/x
  3. Step 3: Cross multiply
    826,509.38x = 1,276,612.31 × 1,276,612.31
  4. Step 4: Simplify right side
    826,509.38x = 1,629,738,996,426.60
  5. Step 5: Solve for x
    x = 1,629,738,996,426.60/826,509.38
  6. Step 6: Final answer
    x = 1,971,833.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.